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47500020 = 22345109269
BaseRepresentation
bin1011010100110…
…0101011110100
310022101020210000
42311030223310
544130000040
64414031300
71114513011
oct265145364
9108336700
1047500020
11248a3517
1213aa8530
139ac1529
146446708
154284130
hex2d4caf4

47500020 has 120 divisors (see below), whose sum is σ = 150935400. Its totient is φ = 12503808.

The previous prime is 47500009. The next prime is 47500039. The reversal of 47500020 is 2000574.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1205604 + 46294416 = 1098^2 + 6804^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 47499966 and 47500002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176446 + ... + 176714.

It is an arithmetic number, because the mean of its divisors is an integer number (1257795).

Almost surely, 247500020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47500020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75467700).

47500020 is an abundant number, since it is smaller than the sum of its proper divisors (103435380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47500020 is a wasteful number, since it uses less digits than its factorization.

47500020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 47500020 is about 6892.0258269975. The cubic root of 47500020 is about 362.1578730012.

Adding to 47500020 its reverse (2000574), we get a palindrome (49500594).

The spelling of 47500020 in words is "forty-seven million, five hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 109 135 162 180 218 269 270 324 327 405 436 538 540 545 654 807 810 981 1076 1090 1308 1345 1614 1620 1635 1962 2180 2421 2690 2943 3228 3270 3924 4035 4842 4905 5380 5886 6540 7263 8070 8829 9684 9810 11772 12105 14526 14715 16140 17658 19620 21789 24210 29052 29321 29430 35316 36315 43578 44145 48420 58642 58860 72630 87156 87963 88290 108945 117284 145260 146605 175926 176580 217890 263889 293210 351852 435780 439815 527778 586420 791667 879630 1055556 1319445 1583334 1759260 2375001 2638890 3166668 3958335 4750002 5277780 7916670 9500004 11875005 15833340 23750010 47500020